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%I #14 Aug 22 2021 13:17:50
%S 1,2,3,4,8,6,12,5,9,13,15,7,10,19,11,16,17,18,14,26,32,24,23,22,41,20,
%T 38,39,36,43,44,21,33,34,59,29,64,27,28,52,25,49,30,31,53,46,47,48,42,
%U 82,51,40,45,76,96,78,72,73,35,71,84,75,86,37,65,66,70
%N Lexicographically earliest sequence of distinct positive terms such that, for any n > 0, n * a(n) is a Fibbinary number (A003714).
%C This sequence is a self-inverse permutation of the natural numbers.
%H Rémy Sigrist, <a href="/A300868/b300868.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/Per#IntegerPermutation">Index entries for sequences that are permutations of the natural numbers</a>
%H Rémy Sigrist, <a href="/A300868/a300868.png">Colored logarithmic scatterplot of the first 2^15 terms</a> (where the color is function of A070939(n * a(n)))
%H Rémy Sigrist, <a href="/A300868/a300868.txt">C++ program for A300868</a>
%e The first terms, alongside the binary representation of n * a(n), are:
%e n a(n) binary(n * a(n))
%e -- ---- ----------------
%e 1 1 1
%e 2 2 100
%e 3 3 1001
%e 4 4 10000
%e 5 8 101000
%e 6 6 100100
%e 7 12 1010100
%e 8 5 101000
%e 9 9 1010001
%e 10 13 10000010
%e 11 15 10100101
%e 12 7 1010100
%e 13 10 10000010
%e 14 19 100001010
%e 15 11 10100101
%e 16 16 100000000
%e 17 17 100100001
%e 18 18 101000100
%e 19 14 100001010
%e 20 26 1000001000
%o (C++) See Links section.
%Y Cf. A003714, A070939.
%K nonn,look,base
%O 1,2
%A _Rémy Sigrist_, Mar 14 2018
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